Best Known (148, 194, s)-Nets in Base 3
(148, 194, 464)-Net over F3 — Constructive and digital
Digital (148, 194, 464)-net over F3, using
- 32 times duplication [i] based on digital (146, 192, 464)-net over F3, using
- trace code for nets [i] based on digital (2, 48, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- trace code for nets [i] based on digital (2, 48, 116)-net over F81, using
(148, 194, 1027)-Net over F3 — Digital
Digital (148, 194, 1027)-net over F3, using
(148, 194, 49847)-Net in Base 3 — Upper bound on s
There is no (148, 194, 49848)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 364 418350 681415 049009 582692 974017 231869 068652 770238 190235 711321 149142 589907 352144 756938 853281 > 3194 [i]